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Department of Applied Mathematics and Theoretical Physics

Career

  • 2013-date: University Lecturer, DAMTP, University of Cambridge, UK
  • 2012-date: Royal Society University Research Fellow, University of Cambridge, UK 
  • 2012: Marie Curie Fellow, University of Vienna Austria
  • 2009 -2012: Junior Research Fellow, University of Cambridge, Homerton College UK
  • 2008 -2009: Von Karman Instructor, California Institute of Technology, USA

Research

Anders is a member of the Department of Applied Mathematics and Theoretical Physics and head of the Applied Functional and Harmonic Analysis research group. His current research interests include but are not limited to Functional Analysis (applied), operator/ Spectral Theory, Compressed Sensing, Mathematical Signal Processing, Sampling Theory, Compressed Sensing, Mathematical Signal Processing, Sampling Theory, Computational Harmonic Analysis, Inverse problems, Medical Imaging, Geometric Intergration, Numerical Analysis, C*- algebras.

Selected Publications

  • A. C. Hansen, On the Solvability Complexity Index, the n-Pseudospectrum and Approximations of Spectra of Operators, J. Amer. Math. Soc. 24, no. 1, 81-124
  • A. C. Hansen, On the approximation of Spectra of linear operators on Hilbert spaces, J. Funct. Anal. 254 no.8, 2092--2126
  • A. C. Hansen, Infinite dimensional numerical linear algebra; theory and applications, Proc. R. Soc. Lond. Ser. A. 466, no.2124, 3539-3559
  • B. Adcock, A. C. Hansen, Stable reconstructions in Hilbert spaces and the resolution of the Gibbs phenomenon, Appl. Comput. Harmon. Anal. 32, no.3, 357-388

Publications

On the Absence of Uniform Recovery in Many Real-World Applications of Compressed Sensing and the Restricted Isometry Property and Nullspace Property in Levels
A Bastounis, AC Hansen
– Siam Journal on Imaging Sciences
(2017)
10,
335
Breaking the coherence barrier: A new theory for compressed sensing
B Adcock, AC Hansen, C Poon, B Roman
– Forum of Mathematics, Sigma
(2017)
5,
1
Complexity issues in computing spectra, pseudospectra and resolvents
AC Hansen, O Nevanlinna
– Banach Center Publications
(2017)
112,
171
On the absence of uniform recovery in many real-world applications of compressed sensing and the restricted isometry property and nullspace property in levels
A Bastounis, AC Hansen
– SIAM Journal on Imaging Sciences
(2017)
10,
335
Generalized Sampling and Infinite-Dimensional Compressed Sensing
B Adcock, AC Hansen
– Foundations of Computational Mathematics
(2016)
16,
1263
Continuous Compressed Sensing for Surface Dynamical Processes with Helium Atom Scattering.
A Jones, A Tamtögl, I Calvo-Almazán, A Hansen
– Sci Rep
(2016)
6,
27776
A Note on Compressed Sensing of Structured Sparse Wavelet Coefficients From Subsampled Fourier Measurements
B Adcock, AC Hansen, B Roman
– IEEE Signal Processing Letters
(2016)
23,
732
On asymptotic incoherence and its implications for compressed sensing of inverse problems
AD Jones, B Adcock, AC Hansen
– IEEE Transactions on Information Theory
(2016)
62,
1020
New barriers in complexity theory: On the solvability complexity index and the towers of algorithms
J Ben-Artzi, AC Hansen, O Nevanlinna, M Seidel
– Comptes Rendus Mathématique
(2015)
353,
931
On random and deterministic compressed sensing and the Restricted Isometry Property in levels
A Bastounis, AC Hansen
– 2015 International Conference on Sampling Theory and Applications (SampTA)
(2015)
297
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Research Groups

Applied Functional and Harmonic Analysis
Cantab Capital Institute for the Mathematics of Information
Centre for Mathematical Imaging in Healthcare

Room

F2.01

Telephone

01223 760403